Research Article

Conformal Fractional ((D_ξ^α G(ξ))/G(ξ) )- Expansion Method and Its Applications for Solving the Nonlinear Fractional Sharma-Tasso-Olver equation

Alaaeddin Amin Moussa
Qassim University, Saudi Arabia
* Corresponding author
Lama Abdulaziz Alhakim
Qassim University, Saudi Arabia
DOI icon 10.24018/ejmath.2021.2.5.57

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Submitted 2021-07-30
Published 2021-10-23

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Article Main Content

In this article, we generalize the ((G^' (ξ))/G(ξ) )- expansion method which is one of the most important methods to finding the exact solutions of nonlinear partial differential equations. The new generalized method, named conformal fractional ((D_ξ^α G(ξ))/G(ξ) )-expansion method, takes advantage of Katugampola’s fractional derivative to create many useful traveling wave solutions of the nonlinear conformal fractional Sharma-Tasso-Olver equation. The obtained solutions have been articulated by the hyperbolic, trigonometric and rational functions with arbitrary constants. These solutions are algebraically verified using Maple and their physical characteristics are illustrated in some special cases.

Keywords: Conformal fractional ((D_ξ^α G(ξ))/G(ξ) )-expansion method, nonlinear conformal fractional Sharma-Tasso-Olver equation

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